Question: Problem 1 [50 points] Design a dynamic programming algorithm for the change-making problem: given an amount n and unlimited quantities ofeach of the denominations d

Problem 1 [50 points] Design a dynamic programming algorithm for the

Problem 1 [50 points] Design a dynamic programming algorithm for the change-making problem: given an amount n and unlimited quantities ofeach of the denominations d d. find the smallest number of coins that add up to n or indicate that the problem does not have a solution Analyze the running time of your algorithm. Try to make the running time of your algorithm as best as possible

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